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Finding the Fourth Proportional to 12,185.48, 16,815.88 and 6,880.18

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Solution

The fourth proportional to 12,185.48, 16,815.88 and 6,880.18 is: 9,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.48 : 16,815.88 = 6,880.18 : x
  2. Step 2: Convert to fraction form
    12,185.48/16,815.88 = 6,880.18/x
  3. Step 3: Cross multiply
    12,185.48x = 16,815.88 × 6,880.18
  4. Step 4: Simplify right side
    12,185.48x = 115,696,281.26
  5. Step 5: Solve for x
    x = 115,696,281.26/12,185.48
  6. Step 6: Final answer
    x = 9,494.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.